Solving Two Step Inequalities

Solving Two Step Inequalities

Assessment

Flashcard

Mathematics

6th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable. For example, in the inequality 2x + 3 < 7, you would first subtract 3 from both sides and then divide by 2.

2.

FLASHCARD QUESTION

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

1. Subtract 14 from both sides: -4x ≤ 40. 2. Divide by -4 (flip the sign): x ≥ -10.

3.

FLASHCARD QUESTION

Front

What does it mean to flip the inequality sign?

Back

Flipping the inequality sign occurs when you multiply or divide both sides of an inequality by a negative number.

4.

FLASHCARD QUESTION

Front

Solve the inequality 7n - 1 > 76.

Back

1. Add 1 to both sides: 7n > 77. 2. Divide by 7: n > 11.

5.

FLASHCARD QUESTION

Front

What is the solution to the inequality -3x - 4 < 5?

Back

1. Add 4 to both sides: -3x < 9. 2. Divide by -3 (flip the sign): x > -3.

6.

FLASHCARD QUESTION

Front

When do you not flip the inequality sign?

Back

You do not flip the inequality sign when you add or subtract a number from both sides.

7.

FLASHCARD QUESTION

Front

Solve for k in the inequality 7k - 2 ≥ -9.

Back

1. Add 2 to both sides: 7k ≥ -7. 2. Divide by 7: k ≥ -1.

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